Geodesic
Disconnected Reductive Groups
Marisa Gaetz1 ; David A. Vogan Jr.1
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
Journal of Lie Theory, Tome 34 (2024) no. 2, pp. 469-480

Voir la notice de l'article provenant de la source Heldermann Verlag

We describe the possible disconnected complex reductive algebraic groups E with component group Γ = E/E0. We show that there is a natural bijection between such groups E and algebraic extensions of Γ by Z(E0).
Classification : 22E10, 20G07
Mots-clés : Reductive groups, root data, group cohomology

Marisa Gaetz  1   ; David A. Vogan Jr.  1

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A. 
Marisa Gaetz; David A. Vogan Jr. Disconnected Reductive Groups. Journal of Lie Theory, Tome 34 (2024) no. 2, pp. 469-480. http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a9/
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     author = {Marisa Gaetz and David A. Vogan Jr.},
     title = {Disconnected {Reductive} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {469--480},
     year = {2024},
     volume = {34},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a9/}
}
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